Higher-order topological superconductors as generators of quantum codes
Creators
Abstract
We show that interactions can drive a class of higher order topological superconductors (HOTSCs) into symmetry-enriched topologically ordered phases exemplified by topological quantum error correcting codes. In two dimensions, interacting HOTSCs realize various topologically ordered surface and color codes. In three dimensions, interactions can drive HOTSCs protected by subsystem symmetries into recently discovered fracton phases. We explicitly relate fermion parity operators underlying the gapless excitations of the HOTSC to the Wilson algebra of symmetry-enriched quantum codes. Arrays of crossed Majorana wires provide an experimental platform for realizing fracton matter and for probing the quantum phase transition between HOTSCs and the topologically ordered phase.
Additional Information
© 2019 American Physical Society. Received 21 November 2018; revised manuscript received 25 July 2019; published 16 August 2019. This work was supported in part by CRC 183 of the Deutsche Forschungsgemeinschaft (D.L. and F.v.O.) and the PCTS fellowship (Y.Y.). One of us (F.v.O.) is grateful for sabbatical support from the IQIM, an NSF physics frontier center funded in part by the Moore Foundation. Y.Y. and F.v.O. performed part of this work at the Aspen Center for Physics, which is supported by National Science Foundation Grant No. PHY-1607611.Attached Files
Published - PhysRevB.100.054513.pdf
Submitted - 1810.10556.pdf
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1810.10556.pdf
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Additional details
Identifiers
- Eprint ID
- 97943
- Resolver ID
- CaltechAUTHORS:20190816-100424619
Related works
- Describes
- https://arxiv.org/abs/1810.10556 (URL)
Funding
- Deutsche Forschungsgemeinschaft (DFG)
- CRC 183
- Princeton University
- Institute for Quantum Information and Matter (IQIM)
- Gordon and Betty Moore Foundation
- NSF
- PHY-1607611
Dates
- Created
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2019-08-16Created from EPrint's datestamp field
- Updated
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2021-11-16Created from EPrint's last_modified field